UNIVERSITY OF KENT Programme Specification Please note: This specification provides a concise summary of the main features of the programme and the learning outcomes that a typical student might reasonably be expected to achieve and demonstrate if he/she passes the programme. More detailed information on the learning outcomes, content and teaching, learning and assessment methods of each module can be found in the programme handbook. The accuracy of the information contained in this specification is reviewed by the University and may be checked by the Quality Assurance Agency for Higher Education. Degree and Programme Title: BSc (Hons) in Mathematics with a Foundation Year 1. Awarding Institution/Body University of Kent 2. Teaching Institution University of Kent 3. School responsible for management of the programme School of Mathematics, Statistics & Actuarial Science 4. Teaching Site Canterbury 5. Mode of Delivery Full-time 6. Programme accredited by 7. Final Award BSc (Hons), BSc, Diploma, Certificate 8. Programme Mathematics with a foundation year 9. UCAS Code (or other code) G108 10. Credits/ECTS Value 480 (ECTS 240) 11. Study Level Undergraduate (level 6) 12. Relevant QAA subject benchmarking group(s) Mathematics, Statistics & Operational Research. 13. Date of creation/revision (note that dates are necessary for version control) Revised version March 2015 14. Intended Start Date of Delivery of this Programme from September 2015 15. Educational Aims of the Programme The programme aims to: 1. Equip students with the technical appreciation, skills and knowledge appropriate to graduates in Mathematics. 2. Develop students’ facilities of rigorous reasoning and precise expression. 3. Develop students’ capabilities to formulate and solve mathematical problems. 4. Develop in students appreciation of recent developments in Mathematics, and of the links between the theory of Mathematics and its practical application. 5. Develop in students a logical, mathematical approach to solving problems. 6. Develop in students an enhanced capacity for independent thought and work. 7. Ensure students are competent in the use of information technology, and are familiar with computers, together with the relevant software. 8. Provide students with opportunities to study advanced topics in Mathematics, engage in research 1 Undergraduate programme specification UNIVERSITY OF KENT at some level, and develop communication and personal skills. 16 Programme Outcomes The programme provides opportunities for students to develop and demonstrate knowledge and understanding, qualities, skills and other attributes in the following areas. The programme outcomes have references to the subject benchmarking statement for Mathematics, Statistics and Operational Research. A. Knowledge and Understanding of: 1. Core mathematical understanding in the principles of calculus, algebra, mathematical methods, discrete mathematics, analysis and linear algebra. (SB3.12) 2. Statistical understanding in the subjects of probability and inference. (SB3.12) 3. Information technology skills as relevant to mathematicians. (SB3.17) 4. Methods and techniques of mathematics. (SB3.9) 5. The role of logical mathematical argument and deductive reasoning. (SB3.14) Teaching/learning and assessment methods and strategies used to enable outcomes to be achieved and demonstrated Teaching/learning: Lectures given by a wide variety of teachers: example classes: workshops, computer laboratory classes. Assessment: Coursework involving problems, computer assignments, project reports; presentations, written unseen examinations. Skills and Other Attributes B. Intellectual Skills: (SB3.23, SB3.24) 1. Ability to demonstrate a reasonable understanding of Mathematics. 2. Ability to demonstrate skill in calculation and manipulation of the material written within the programme. 3. Ability to apply a range of concepts and principles in various contexts. 4. Ability for logical argument. 5. Ability to demonstrate skill in solving mathematical problems by various appropriate methods. 6. Ability in relevant computer skills and usage. 7. Ability to work with relatively little guidance. Teaching/learning and assessment methods and strategies used to enable outcomes to be achieved and demonstrated Teaching/learning: Lectures given by a wide variety of teachers: example classes: workshops, computer laboratory classes. Assessment: Coursework involving problems, computer assignments, project reports; presentations, written unseen examinations. C. Subject-specific Skills: (SB3.23) 2 Undergraduate programme specification UNIVERSITY OF KENT 1. Ability to demonstrate knowledge of key mathematical concepts and topics, both explicitly and by applying them to the solution of problems. 2. Ability to comprehend problems, abstract the essentials of problems and formulate them mathematically and in symbolic form so as to facilitate their analysis and solution. 3. Ability to use computational and more general IT facilities as an aid to mathematical processes. 4. Ability to present their mathematical arguments and the conclusions from them with clarity and accuracy. Teaching/learning and assessment methods and strategies used to enable outcomes to be achieved and demonstrated Teaching/learning: Skills modules; computer laboratory classes; research projects; lectures; examples classes. Assessment: Coursework, written unseen examinations and presentations. D. Transferable Skills: (SB3.27) 1. 2. 3. 4. Problem-solving skills, relating to qualitative and quantitative information. Communications skills. Numeracy and computational skills. Information-retrieval skills, in relation to primary and secondary information sources, including information retrieval through on-line computer searches. 5. Information technology skills such as word-processing and spreadsheet use, internet communication, etc. 6. Time-management and organisational skills, as evidenced by the ability to plan and implement efficient and effective modes of working. 7. Study skills needed for continuing professional development. Teaching/learning and assessment methods and strategies used to enable outcomes to be achieved and demonstrated Teaching/learning: Taught skills modules; oral presentations; research projects. Assessment: Coursework, presentations, project assessment. For more information on the skills developed by individual modules and on the specific learning outcomes associated with any Certificate, Diploma or BSc non-honours awards relating to this programme of study, see the module mapping. 3 Undergraduate programme specification UNIVERSITY OF KENT 17 Programme Structures and Requirements, Levels, Modules, Credits and Awards BSc: This programme is studied over four years full-time. The programme is divided into four stages, each stage comprising modules to a total of 120 credits. Students must successfully complete each module in order to be awarded the specified number of credits for that module. One credit corresponds to approximately ten hours of 'learning time' (including all classes and all private study and research). Thus obtaining 120 credits in an academic year requires 1,200 hours of overall learning time. For further information on modules and credits refer to the Credit Framework at http://www.kent.ac.uk/teaching/qa/credit-framework/creditinfo.html Each module and programme is designed to be at a specific level. For the descriptors of each of these levels, refer to Annex 2 of the Credit Framework at http://www.kent.ac.uk/teaching/qa/creditframework/creditinfoannex2.html. To be eligible for the award of an honours degree students must obtain 480 credits, at least 210 of which must be Level I or above, and including at least 90 credits at level H or above at Stage 3. Compulsory modules are core to the programme and must be taken by all students studying the programme. Optional modules provide a choice of subject areas, from which students will select a stated number of modules. Where a student fails a module(s) due to illness or other mitigating circumstances, such failure may be condoned, subject to the requirements of the Credit Framework and provided that the student has achieved the programme learning outcomes. For further information refer to the Credit Framework at http://www.kent.ac.uk/teaching/qa/credit-framework/creditinfo.html. Where a student fails a module(s), but has marks for such modules within 10 percentage points of the pass mark, the Board of Examiners may nevertheless award the credits for the module(s), subject to the requirements of the Credit Framework and provided that the student has achieved the programme learning outcomes. For further information refer to the Credit Framework. A module whose code bears an asterisk cannot be compensated, trailed or condoned under the Credit Framework. Students successfully completing Stage 1 of the programme and meeting credit framework requirements who do not successfully complete Stage 2 will be eligible for the award of the Certificate in Mathematics. Students successfully completing Stage 1 and Stage 2 of the programme and meeting credit framework requirements who do not successfully complete Stage 3 will be eligible for the award of the Diploma in Mathematics. Students successfully completing Stage 2 of the programme and achieving 300 credits overall including at least 60 credits at level H or above at Stage 3 and meeting Credit Framework requirements will be eligible for the award of a BSc non-honours degree. Students may not progress to the non-honours degree programme; the non-honours degree programme will be awarded as a fallback award only. 4 Undergraduate programme specification UNIVERSITY OF KENT Code Title Level Credits Term(s) Stage 0 Compulsory Modules MA022 Graphs, Geometry and Trigonometry F 15 1&2 MA024 Additional Mathematics F 15 1&2 MA025 Foundation Statistics F 15 1&2 MA026 Mathematical Workshops F 30 1&2 Students must select one of the following modules EL021 Calculus F 15 1&2 MA027 Calculus for Foundation Year Mathematics F 15 1&2 Students must select two of the following modules (with the recommendation that they do not select more than one of the 15-credit modules run exclusively in term 2) PH020 Introductory Mathematics – Arithmetic and Algebra F 15 1&2 EL033 Foundation Computing F 15 1&2 HI434 Introduction to the History of Science C 15 2 PL310 Introduction to Philosophy: Logic and Reasoning C 15 2 LZ037 English for Academic Study (available only to international students with an IELTS score below the standard Stage 1 entry level of 6.5 (or equivalent)) F 15 1 or 2 LZ036 Academic Skills Development C 15 1 or 2 Stage 1 Compulsory Modules MA306 Statistics C 15 2 MA321 Calculus and Mathematical Modelling C 30 1&2 MA322 Proofs and Numbers C 15 1 MA323 Matrices and Probability C 15 1&2 MA324 Exploring Mathematics C 15 1&2 MA325 From Geometry to Algebra C 30 1&2 Stage 2 Compulsory Modules MA552 Analysis I 15 1 MA553 Linear Algebra I 15 1 5 Undergraduate programme specification UNIVERSITY OF KENT MA629 Probability and Inference I 15 1 Students must select at least two of the following modules MA588 Mathematical Techniques and Differential Equations I 15 2 MA564 Functions of Several Variables I 15 2 MA565 Groups and Rings I 15 2 Optional Modules Students must select modules from the following so as to give a total of 120 credits for Stage 2. MA584 Computational Mathematics I 15 2 MA590 Mathematical Modelling I 15 1 MA632 Regression Models I 15 2 MA566 Number Theory I 15 1 CB668 Linear programming & its Applications H 15 1 Stage 3 Compulsory Modules: students must select one of the following modules MA599 Mini-Projects H 30 1&2 MA600 Dissertation H 30 1&2 Optional Modules Students must select 90 credits from the following. Availability of modules on the list will depend on whether appropriate pre-requisite and co-requisite modules have been taken and on whether the module is available. Not all modules will run each year, however a balanced programme with adequate choice will be guaranteed. Scheduling of particular modules in autumn or spring term where indicated as ‘1 or 2’ will ensure a reasonable balance across terms for those modules that are offered. For further information, refer to the handbook https://www.kent.ac.uk/smsas/resources/index.html?tab=handbooks MA538 Applied Bayesian Modelling H 15 1 MA549 Discrete Mathematics H 15 1 MA563 Calculus of Variations H 15 1 MA567 Topology H 15 1 or 2 MA568 Orthogonal Polynomials and Special Functions H 15 1 or 2 MA572 Complex Analysis H 15 1 MA574 Polynomials in Several Variables H 15 2 MA576 Groups and representations H 15 2 MA577 Elements of Abstract Analysis H 15 1 MA587 Numerical Solution of Differential Equations H 15 1 MA591 Nonlinear Systems and Mathematical Biology H 15 1 MA595 Graphs and Combinatorics H 15 1 or 2 MA603 Introduction to Lie groups and Algebras H 15 1 or 2 MA605 Symmetries, Groups and Invariants H 15 1 or 2 6 Undergraduate programme specification UNIVERSITY OF KENT MA607 Quantum Theory H 15 1 or 2 MA609 Applied Differential Geometry H 15 1 or 2 MA611 Introduction to Functional Analysis M 15 1 or 2 MA617 Asymptotics and Perturbation Methods H 15 1 or 2 MA636 Stochastic Processes H 15 1 MA639 Time Series Modelling and Simulation H 15 2 MA771 Applied Stochastic Modelling and Data Analysis H 15 2 MA772 Analysis of Variance H 15 1 MA781 Practical Multivariate Analysis H 15 2 CB600 Games and Networks H 15 2 18 Work-Based Learning Disability Statement: Where disabled students are due to undertake a work placement as part of this programme of study, a representative of the University will meet with the work placement provider in advance to ensure the provision of anticipatory and reasonable adjustments in line with legal requirements. Where relevant to the programme of study, provide details of any work-based learning element, inclusive of employer details, delivery, assessment and support for students: This programme does not include a work-based learning element. 19 Support for Students and their Learning School and University induction programme Programme/module handbooks Library services, see http://www.kent.ac.uk/library/ Student Support, see www.kent.ac.uk/studentsupport/ Student Wellbeing www.kent.ac.uk/student/wellbeing/. Centre for English and World Languages, see http://www.kent.ac.uk/cewl/index.html Student Learning Advisory Service, see http://www.kent.ac.uk/uelt/about/slas.html PASS system, see http://www.kent.ac.uk/teaching/documents/qualityassurance/codes/taught/pdf/AnnexG.pdf Academic Adviser system Kent Union, see www.kentunion.co.uk/ Careers and Employability Services, see www.kent.ac.uk/ces/ Counselling Service www.kent.ac.uk/counselling/ Information Services (computing and library services), see www.kent.ac.uk/is/ Undergraduate student representation at School, Faculty and Institutional levels International Development Office, see www.kent.ac.uk/international/ Medical Centre, see www.kent.ac.uk/counselling/menu/Medical-Centre.html University and School web pages, including the Student Data System and the Moodle Virtual Learning Environment 7 Undergraduate programme specification UNIVERSITY OF KENT Computing labs and study rooms 20 Entry Profile The minimum age to study a degree programme at the university is normally at least 17 years old by 20 September in the year the course begins. There is no upper age limit. 20.1 Entry Route For fuller information, please refer to the University prospectus Candidates are considered on an individual basis. Declaration of disclosure of any criminal convictions including those outstanding. 20.2 What does this programme have to offer? An excellent grounding in Mathematics at university level. The opportunity to see the applications of Mathematics in a variety of areas. The opportunity to study the subject within a friendly and highly successful department. The development of skills which are widely recognised as of great value to employers, and which open up a wide variety of careers. 20.3 Personal Profile A keen interest in Mathematics An appreciation of the importance of the subject in the modern world An interest in learning about the range of real-life applications of the mathematical sciences A desire to develop quantitative and problem-solving skills 21 Methods for Evaluating and Enhancing the Quality and Standards of Teaching and Learning 21.1 Mechanisms for review and evaluation of teaching, learning, assessment, the curriculum and outcome standards Student module evaluations Annual programme and module monitoring reports, see http://www.kent.ac.uk/teaching/qa/codes/taught/annexe.html External Examiners system, see http://www.kent.ac.uk/teaching/qa/codes/taught/annexk.html Periodic programme review, http://www.kent.ac.uk/teaching/qa/codes/taught/annexf.html Annual staff appraisal Peer observation Quality Assurance Framework, http://www.kent.ac.uk/teaching/qa/codes/index.html QAA Higher Educational Review, see http://www.qaa.ac.uk/InstitutionReports/types-ofreview/higher-education-review/Pages/default.aspx Active staff development programme Continuous monitoring of student progress and attendance Vetting process of examination questions by module team 21.2 Committees with responsibility for monitoring and evaluating quality and standards Staff/Student Liaison Committee 8 Undergraduate programme specification UNIVERSITY OF KENT School Learning and Teaching Committee Faculty Learning and Teaching Committee Faculty Board Learning and Teaching Board Board of Examiners 21.3 Mechanisms for gaining student feedback on the quality of teaching and their learning experience Student module evaluations Staff/Student Liaison Committee Student rep system (School, Faculty and Institutional level) Annual NSS Discussions with Academic Advisers Discussions with Senior Tutor Informal meetings and social contact with students (including student role in recruitment activities) Staff have office hours when students can discuss their modules/programmes 21.4 Staff Development priorities include: PGCHE requirements HEA (associate) fellowship membership Annual appraisals Institutional Level Staff Development Programme Academic Practice Provision (PGCHE, ATAP and other development opportunities) Professional body membership and requirements Programme team meetings Research seminars Conferences Study leave Research-led teaching Links with other European institutions Regular formal and informal collaboration in programme development Staff supervision Minimum expected qualifications for appointments to lecturing posts Minimum expected research record for appointments to lecturing posts Mentoring of new lecturers Attendance at national/international subject symposia Widening participation Health and safety Interaction with National Learning and Teaching Network for Mathematics and Statistics Self-evaluation Dissemination of good practice on new learning and teaching methods Current professional practice in the field 22 Indicators of Quality and Standards 9 Undergraduate programme specification UNIVERSITY OF KENT Results of periodic programme review (last PPR was 2009) QAA Institutional Audit 2008 Annual External Examiner reports Annual programme and module monitoring reports 22.1 The following reference points were used in creating these specifications: QAA UK Quality Code for Higher Education QAA Benchmarking statement/s for Mathematics, Statistics and Operational Research School and Faculty plan University Plan/Learning and Teaching Strategy Staff research activities 10 Undergraduate programme specification UNIVERSITY OF KENT BSc in MATHEMATICS WITH A FOUNDATION YEAR Learning outcome by module C: Compulsory O: Optional A. Knowledge & Understanding Level and module A1 O ## O C C C C ## O O O O C C C C C C C C £ £ O O £ O Level F PH020 EL021 EL033 MA022 MA024 MA025 MA026 MA027 LZ037 Level C HI434 PL310 LZ036 MA321 MA322 MA323 MA324 MA325 MA306 Level I MA552 MA553 MA565 MA564 MA566 MA584 MA588 MA590 A2 A3 X X A4 A5 B1 B2 B3 B4 B5 X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X 11 Undergraduate programme specification C. Subject Specific Skills B. Intellectual Skills B6 X X X X X X B7 C1 C2 X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X C3 C4 D1 D2 D3 X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X D. Transferable Skills X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X D4 D5 D6 D7 X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X UNIVERSITY OF KENT C O O O O O O O O O O O O O O # # O O O O O O O O O O O MA629 MA632 CB668 Level H MA538 MA549 MA563 MA567 MA568 MA572 MA574 MA576 MA577 MA587 MA591 MA595 MA599 MA600 MA603 MA605 MA607 MA609 MA611 MA617 MA636 MA639 MA771 MA772 CB600 X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X 12 X X X X X X X X X X X X X X ## = Students must take EITHER EL021 OR MA027 # = Students must take EITHER MA599 OR MA600; £=Students take at least 2 of MA588, M564, M565 Undergraduate programme specification X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X